5. Two points are 10 units apart on the coordinate plane. If
1 answer:
Answer:
8
Step-by-step explanation:
Let's say the ant is walking across the floor. Then it hits the wall and starts climbing to the ceiling.
We have a right triangle, as in the diagram, so we can apply Pythagoras' Theorem.
x² + 6² = 10²
x² + 36 = 100
x² = 64
x = 8
The ant must walk eight vertical units.
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Answer:
<h2>36 units</h2><h2></h2>Step-by-step explanation:
perimeter of the given triangle = 16 + slant (10) + slant (10)
= 36 units
(see image below)
Answer:
Part A:
( 1.8333, -0.08333)
Part B:
x = 2 or x = 5/3
Step-by-step explanation:
The quadratic equation
has been given.
Part A:
We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.
Setting the derivative to 0;
6x - 11 = 0
6x = 11
x = 11/6
The corresponding y value is determined by substituting x = 11/6 into the original equation;
y = 3(11/6)^2 - 11(11/6) + 10
y = -0.08333
The vertex is thus located at the point;
( 1.8333, -0.08333)
Find the attached
Part B:
We can use the quadratic formula to solve for x as follows;
The quadratic formula is given as,
From the quadratic equation given;
a = 3, b = -11, c = 10
We substitute these values into the above formula and simplify to determine the value of x;
